You may need to use the appropriate technology to answer this question.Consider the data.72.9238.53912 6(a) Compute the mean square error using equation s2 = MSE=. SSEn-220 140.636Y₁ 55 40 55 5 15(b) Compute the standard error of the estimate using equation s= √MSE=(c) Compute the estimated standard deviation of- (Round your answer to two decimal places.)D₁ using equation Sp(d) Use the t test to test the following hypotheses (a = 0.05):Ho: P₁ = 0Find the p-value. (Round your answer to four decimal places.)p-value 0.0145SSEn-2Find the value of the test statistic. (Round your answer to three decimal places.)-5.106(Round your answer to three decimal places.)-√2X41-42.T. (Round your answer to three decimal places.) State your conclusion.O Do not reject Ho. We cannot conclude that the relationship between x and y issignificant.Reject Ho. We conclude that the relationship between x and y is significant.O Do not reject Ho. We conclude that the relationship between x and y is significant.O Reject Ho. We cannot conclude that the relationship between x and y is significant.(e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)Sourceof VariationRegression 1901.25ErrorSumDegreesof Squares of FreedomTotal1901.25MeanSquareFind the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-value=p-valueState your conclusion.Reject Ho. We conclude that the relationship between x and y is significant.O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.ODo not reject Ho. We conclude that the relationship between x and y is significant.O Reject Ho. We cannot conclude that the relationship between x and y is significant.

Given x Y 3 55 12 40 6 55 20 5 14 15

Answered: (e) Use the F test to test the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 2 3,947.18 1,973.59 42.48 Residual Error 47 2,183.37 46.45 Total 49 6,130.55 a-1. Determine the standard error of estimat About 95% of the residuals will be between what two values? (Round your answers to 2 decimal places. Determine the coefficient of multiple determination. (Round your answer to 3 decimal places.) Determine the percentage variation for the independent variables. (Round your answer to 1 decimal place.) Determine the coefficient of multiple determination, adjusted for the degrees of freedom. (Round your answer to 3 decimal places.)
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Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF SS MS F P Regression 1 293.3 293.3 2.01 0.158 Residual Error 174 25386.6 145.9 Total 175 25679.9 The F-statistic is _____________.The p-value is ___________________
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Ten observations were selected from each of 3 populations, and an analysis of variance was performed on the data. The following are the results: Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 18.24 Within Treatments(error) 158.4 Using level of significance =.05, test to see if there is a significance difference among the means of the three populations. If in (1) you concluded that at least one mean is different from the others, determine which mean is different. The three sample means are X1= 24.8, X2=23.4, and X3=27.4. Use Fisher’s LSD procedure and let level of significance=.05
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